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Related Concept Videos

Residual Stresses in Bending01:18

Residual Stresses in Bending

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In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material behavior and structural integrity. During the loading phase, as the bending moment increases, the material initially responds elastically, adhering to Hooke's Law, where stress is directly proportional to strain. When the load exceeds the yield strength, plastic deformation occurs, resulting in permanent strain and deformation that remains even...
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Plastic Behavior01:21

Plastic Behavior

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A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...
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Residual Stresses01:26

Residual Stresses

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Residual stresses reside in a structure even after removing the original stress inducer. This phenomenon often arises from varied plastic deformations across different parts of a structure. Consider a rod stretched beyond its yield point. It will not regain its original length due to permanent deformation. Even after load removal, the rod does not entirely lose stress because of uneven plastic deformations, resulting in residual stresses. The computation of these stresses in structures is...
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Plastic Deformations01:14

Plastic Deformations

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It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...
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Stress-Strain Diagram - Ductile Materials01:24

Stress-Strain Diagram - Ductile Materials

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The stress-strain relationship in ductile materials such as structural steel or aluminium is intricate and progresses through several stages. When a specimen is loaded, it initially exhibits a linear length increase, depicted by a steep straight line on the stress-strain diagram. It indicates the material is elastically deforming and will return to its original shape once unloaded. However, when a critical stress value is reached, plastic deformation begins. This stage sees substantial...
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Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

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The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
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Evaluating Parameter Value Identification Methods for Modeling of Nonlinear Stress Relaxation in Polyethylene.

Furui Shi1, P-Y Ben Jar2

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This study introduces a new method to uniquely quantify polymer viscous properties. The best-five-fits method reliably determines parameters for polyethylene (PE) pipes, improving mechanical performance characterization.

Keywords:
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Area of Science:

  • Polymer Science
  • Materials Science
  • Rheology

Background:

  • Viscous properties are crucial for polymer time-dependent deformation.
  • Traditional spring-dashpot models lack unique parameter sets, limiting their use in quantifying viscous properties.
  • Polyethylene (PE) and its pipes exhibit complex nonlinear viscous stress responses.

Purpose of the Study:

  • To develop a reliable method for determining unique model parameters for spring-dashpot models.
  • To quantify the viscous properties of polyethylene (PE) and its pipes.
  • To enhance the characterization of PE's mechanical performance, especially for long-term applications.

Main Methods:

  • A novel multi-relaxation-recovery test was employed to capture stress response variations.
  • A three-branch spring-dashpot model with two Eyring's dashpots was utilized.
  • Four analysis methods (mode, peak-point, highest-frequency, best-five-fits) were compared for parameter determination.

Main Results:

  • The multi-relaxation-recovery test revealed the complex nonlinear viscous behavior of PE.
  • Comparison of analysis methods showed that the best-five-fits method yields the most reliable and unique model parameters.
  • The best-five-fits method provides a pathway to quantify PE's viscous properties.

Conclusions:

  • The best-five-fits method offers a robust approach for parameter determination in polymer rheology.
  • Unique model parameters enable accurate quantification of viscous properties for PE and its pipes.
  • This advancement is vital for precise characterization of long-term mechanical performance and load-carrying capacity.